Subcritical free-surface flow caused by a line source in a fluid of finite depth

DOI10.1007/BF00042763zbMath0763.76011OpenAlexW2002769055MaRDI QIDQ1205584

Lawrence K. Forbes, Graeme C. Hocking

Publication date: 1 April 1993

Published in: Journal of Engineering Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf00042763

zbMATH Keywords

upper boundintegral equationcomplex potentialstagnation point solutions

Mathematics Subject Classification ID

Integration, integrals of Cauchy type, integral representations of analytic functions in the complex plane (30E20) Water waves, gravity waves; dispersion and scattering, nonlinear interaction (76B15)

Related Items (15)

Free surface flow past topography: A beyond-all-orders approach ⋮ Withdrawal of fluid through a line sink beneath a free surface above a sloping boundary ⋮ Draining of a fluid of finite depth into a vertical slot ⋮ A line sink in a flowing stream with surface tension effects ⋮ Withdrawal of a fluid of finite depth through a line sink with a cusp in the free surface ⋮ The Contraction Coefficient of a Free-Surface Flow Under Gravity Entering a Region Beneath a Semi-Infinite Plane ⋮ Subcritical free-surface flow caused by a line source in a fluid of finite depth ⋮ Flow from a vertical slot into a layer of finite depth ⋮ Gravitational fluid flow induced in a three layer stratified fluid by two submerged sinks or sources with stagnation points on the free surfaces ⋮ Two-dimensional steady free surface flow into a semi-infinite mat sink ⋮ Steady free surface potential flow of an ideal fluid due to a singular sink on the flat bottom ⋮ Waves generated by a source below a free surface in water of finite depth ⋮ Potential flow of fluid from an elevated, two-dimensional source ⋮ The fluid flow due to two submerged sinks in a two layer stratified fluid ⋮ The flow induced in a three-layer stratified fluid by a submerged sink or source with stagnation points on the free surfaces

Cites Work

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• Infinite Froude number solutions to the problem of a submerged source or sink
• A note on the free surface induced by a submerged source at infinite Froude number
• Divergent low-Froude-number series expansion of nonlinear free-surface flow problems
• Two infinite-Froude-number cusped free-surface flows due to a submerged line source or sink
• Supercritical free-surface flow with a stagnation point due to a submerged source
• Flow induced by a line sink in a quiescent fluid with surface-tension effects

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